Q: What are the factor combinations of the number 25,565,467?

 A:
Positive:   1 x 2556546717 x 150385159 x 43331371 x 360077359 x 712131003 x 254891207 x 211814189 x 6103
Negative: -1 x -25565467-17 x -1503851-59 x -433313-71 x -360077-359 x -71213-1003 x -25489-1207 x -21181-4189 x -6103


How do I find the factor combinations of the number 25,565,467?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 25,565,467, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 25,565,467
-1 -25,565,467

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,565,467.

Example:
1 x 25,565,467 = 25,565,467
and
-1 x -25,565,467 = 25,565,467
Notice both answers equal 25,565,467

With that explanation out of the way, let's continue. Next, we take the number 25,565,467 and divide it by 2:

25,565,467 ÷ 2 = 12,782,733.5

If the quotient is a whole number, then 2 and 12,782,733.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 25,565,467
-1 -25,565,467

Now, we try dividing 25,565,467 by 3:

25,565,467 ÷ 3 = 8,521,822.3333

If the quotient is a whole number, then 3 and 8,521,822.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 25,565,467
-1 -25,565,467

Let's try dividing by 4:

25,565,467 ÷ 4 = 6,391,366.75

If the quotient is a whole number, then 4 and 6,391,366.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 25,565,467
-1 25,565,467
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11759713591,0031,2074,1896,10321,18125,48971,213360,077433,3131,503,85125,565,467
-1-17-59-71-359-1,003-1,207-4,189-6,103-21,181-25,489-71,213-360,077-433,313-1,503,851-25,565,467

More Examples

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